A description of certain absolutely representing systems
type: Item
instance of: scholarly article
title: A description of certain absolutely representing systems
zbMATH Open document ID: 0597.30034
DOI: 10.1007/BF01056764
published in: Ukrainian Mathematical Journal
publication date: 1986-01-01T00:00:00Z
review text: Let \(A_ R\) be the space of all analytic functions in \(\{\) \(z: | z| \leq R\}\) with an open-compact topology and let f(z) be an entire function. The author proves a criterion for \(\{f(\lambda_ kz)\}^{\infty}_{k=1}\) to be an absolutely representing system in \(A_ R\). The latter means that every \(\phi (z)\in A_ R\) may be represented by an absolutely convergent series \(\phi (z)=\sum_{k\geq 1}c_ kf(\lambda_ kz)\).
Mathematics Subject Classification ID: 30D10
zbMATH DE Number: 3962094
zbMATH Keywords: absolutely convergent series
author: B. V. Vynnyts'kyj
reviewed by: Vadim Tkachenko
MaRDI profile type: Publication
cites work: Representing systems
cites work: Q5789258
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description: scientific article; zbMATH DE number 3962094